What are the coordinates of point of intersection of y=x+3 and y=3x-3?

Answers

Answer 1

Answer:

Correct option is

D

(0, 0)

Form the graph, we can see that solution is (0,0).

or

The point of intersection of lines y = 3x and x = 3y must satisfies both the equation.

From the options (0,0) satisfies both the equations, hence the point of intersection of given lines is at origin i.e. (0,0).

Answer 2

Answer:

Step-by-step explanation:

At the point of intersection, x+3 = 3x-3

6=2x

x = 3

y = x+3 = 6


Related Questions

Construct isosceles triangle ABC such that AB = AC = 10 cm and CB = 9 cm. Measure and write down the size of angle ABC.

Answers

Answer:

∠ABC = 63.26°

Step-by-step explanation:

cos ∠ABC = (9/2)/10

cos ∠ABC = 0.45

∠ABC = 63.26°

plz help find the area asap i really need help with the math problems
for the third picture Copy the problem, mark the givens in the diagram, and write a Statement/Reason proof. Given: CN = WN, ∠C ≅ ∠W Prove: RN ≅ ON

Answers

Answer:

uh the area is 45 for the first one because 15*9 is 135 and 15*6 is 90 because you get 6 from 15-9 to get the length for the triangle. Then 135-90 is 45.

Step-by-step explanation:

The area for the second shape is 114 because you will take 14 multiplied by 12 and you get 168, then you will take 6*9 which is 54 and subtract that from 168, and you should get 114.

The area for the third shape is i dont even know because it doesnt give numbers unless your trying to find it with the letters but at least you got the first two

Answer:

45

Step-by-step explanation:

HELP please my friend needs help with his MATH homework, see picture for problem TY :)

Answers

Answer: 207.34512

Plug in values into your formula
SA = 2•pi•r^2 + 2•pi•r•h

SA = 2•pi•3^2 +2•pi•3•8

Height (h) = 8in.
Radius (r) = 3 (diameter divided by 2)
Diameter = 6
The formula for surface area is
SA = 2πr^2 + 2πrh
Where SA means surface area, r stands for radius, and h stands for height.

First find the radius. The radius of a circle is the distance from the outside of the circle to its center. It is half the diameter. To find the radius, divide the diameter by two.
r = 6/2
r = 3 inches

Now plug in the values for radius and height into your formula. Use pi = 3.14

SA = 2(3.14)r^2 + 2(3.14)rh
SA = 2(3.14)(3)^2 + 2(3.14)(3)(8)
SA = 6.28(9) + 6.28(24)
SA = 56.52 + 150.72
SA = 207.24 inches

neeeddd help brainliest to first answer pleeeaaaase

Answers

Answer:

13 units

Step-by-step explanation:

a²+b²=c²

12x12+ 5x5 = c²

144+25 = c²

169=c²

c=sq root 169 = 13

Answer:

13

Step-by-step explanation:

PLEASE HELP ME!!!! HOW DO I GRAPH THIS??????

Answers

Answer:

draw the picture then put a box around it and label the body parts and that fun stuff

"Two planes leave the airport at the same time. Plane 1 travels just 9 miles east from
the airport while Plane 2 travels 40 miles north from the airport. What is the diagonal
distance from plane 1 and 2?"

Answers

The answer is 41 miles


Imagine the diagonal distance is called c
Using Pythagorean theorem 40^2 + 9^2 = c^2
1600 + 81 = c^2
The square root of 1681 is 41
So c = 41

1 A can in the shape of a cylinder has a diameter of 6 centimeters and a height of 10
centimeters. Which measurement is closest to the total surface area of the can in
square centimeters?

Answers

Answer:

radius r = 3 cm

height h = 10 cm

volume V = 282.743339 cm^3

lateral surface area L = 188.495559 cm^2

top surface area T = 28.2743339 cm^2

base surface area B = 28.2743339 cm^2

total surface area A = 245.044227 cm^2

In Terms of Pi π

volume V = 90 π cm3

lateral surface area L = 60 π cm^2

top surface area T = 9 π cm^2

base surface area B = 9 π cm^2

total surface area A = 78 π cm^2

Step-by-step explanation:

Cylinder Formulas in terms of r and h:

Calculate volume of a cylinder:

V = πr2h

Calculate the lateral surface area of a cylinder (just the curved outside)**:

L = 2πrh

Calculate the top and bottom surface area of a cylinder (2 circles):

T = B = πr2

Total surface area of a closed cylinder is:

A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)

Agenda: r = radius

h = height

V = volume

L = lateral surface area

T = top surface area

B = base surface area

A = total surface area

π = pi = 3.1415926535898

√ = square root

The value of Surface Area of the cylinder is 245.04 cm².

What is Surface Area of a shape ?

Surface area is the amount of space covering the outside of a three-dimensional shape.

It is given that the cylinder has

radius r = 3 cm

height h = 10 cm

volume V of the cylinder = πr²h = 282.74 cm³

the lateral surface area of a cylinder

L = 2πrh

lateral surface area L = 188.495559 cm²

the top and bottom surface area of a cylinder (2 circles):

T = B = πr²

top surface area T = 28.2743339 cm²

base surface area B = 28.2743339 cm²

Total surface area of a closed cylinder is:

A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)

total surface area A = 245.044227 cm²

total surface area A = 78 π cm²

Therefore the value of Surface Area of the cylinder is 245.04 cm².

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What is the equation of the blue line?

Answers

Answer:

y = (1/2)x + 2

Step-by-step explanation:

it is a straight line so it will be in the form of y = mx + c

m = gradient, c = y intercept

Reading from graph it cuts the y-axis at 2,

so c = 2

to find gradient we can pick any 2 points on the line,

e.g (0,2) and (10,7)

gradient = (y1 - y2) / (x1 - x2) = (7 - 2) / (10 - 0)

= 1/2

so the equation is y = (1/2)x + 2

Using slope intercept formula, the equation of the blue line

y = (1/2)x + 2.

What is slope intercept?

The slope intercept form is one of the form to represent" equation of the straight iine".

According to the question,

The graph intercept the y-axis at 2.

Slope intercept formula, y = mx + c where m = slope of the line, c = y- intercept of the line,  x, y as variable.

From given, y-intercept, c = 2.

To find slope of the line take any two points on the line (0,2) and (10,7).

Formula to find slope of the line m = (y₁ -y₂)/(x₁ - x₂).

m = (2-7)/(0-10)=  [tex]\frac{1}{2}[/tex]

Hence, the equation of the blue line  y = (1/2)x + 2.

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What is the image point of (7,0) after a translation right 2 units and up 1 unit?

Answers

Answer: (9,1)

Step-by-step explanation: This is because x (7) moves left and right, and y (0) moves up and down. the formula would be (x, y) --->(x+2, y+1)

The Venn diagram shows the relationships among different sets of numbers.


Which number would be located in the shaded part of the diagram?

-1.7

-8

2/3

10​

Answers

-1.7 would be in the shaded part

Find the volume of the cone that sits on top of the cylinder

Answers

Answer:

Vc = (π/3)✓17 ≈ 4.12 ft³

Step-by-step explanation:

h = ✓(4²+1²)

h = ✓17

V = πr²h/3

V = π(1)²✓17/3

V = (π/3)✓17 ≈ 4.12

The mean time between failures (MTBF) is a common metric used to measure the performance of manufacturing systems. MTBF is the elapsed time between failures of a system during normal operations. The failures could be caused by broken machines or computer errors, among other failures. Suppose that the MTBF for a new automated manufacturing system follows an exponential distribution with a mean of 12.2 hours. (a) What is the probability that the automated manufacturing system runs for more than 18 hours without a failure

Answers

Answer:

0.2287

Step-by-step explanation:

The computation of the probability that the automated manufacturing system runs for more than 18 hours without a failure is shown below:

P(X > 17) = 1 - P(X < 17)

= 1 - [1 - e^-18 ÷ 12.2]]

= 1 - [1 -0.228684984 ]

= 0.2287

(5,2) & (-3, 6)

questions said slope intercept form
write the equation of the line that passes through the two Points ​

Answers

Answer:

-1/2x + 4.5

Step-by-step explanation:

Find out the slope by substituting the values in the formulas.

y2 - y1 / x2 - x1      6 - 2 / -3 - 5

-1/2

Now find the y-intercept.

y = mx + b

6 = -1/2 (-3) + b

6 = 3/2 + b

9/2 = b

What is the value of x4+0.5y3when x=2 and y=4?

Answers

Answer:

14

Step-by-step explanation:

Please answer this!!!!!!!!!!

Answers

Answer: Dylan

Step-by-step explanation:

Dylan because i it has 8 sides and if each student rolls it 200 times, then you should divide 200 by 8. Which would make the odds 1/25. And Dylan´s number is closest to 25.

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cos(4x2) - 1
(1 point) Let f(x) =
Evaluate the 10th derivative of f at x = 0.
x2
Problems
f(10)(0) =
Hint: Build a Maclaurin series for f(x) from the series for cos(x).
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You have attempted this problem 5 times.
Your overall recorded score is 0%.
You have 1 attempt remaining.

Answers

Thanks I guess lol.

What number should go into the blank so that the two expressions are equivalent to each other?
4(4b + 17c) = __b + 68c

Answers

16
because solve the first expression
4(4b+17c)
=16b + 68c

Use distributive property to remove the parenthesis for:
(1-y+x)(-6)

Answers

-6+6y-6x

there ya go can u please give me brainliest

Answer:

Step-by-step explanation:

Multiply -6 to the first bracket so it would be

-6+6y-6x This is the answer

help with geometry question please

Answers

Answer:

23.5

Step-by-step explanation:

30.2-6.7=23.5

23.5+6.7=30.2

16 cans of soda. Two-eights of the cans are sprite. How many Sprites?

Answers

The answer is that there are 4 sprites. Because eight is half of sixteen so i add the numerator together and 2+2=4

A local road rises 33 feet for every 423 feet of pavement. What is the slope of the road? Simply your answer.

Answers

Answer:

11 / 141

Step-by-step explanation:

The slope of the road will be equal to 11 / 141.

What is the slope?

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope is also defined as the ratio of the rise to the run.

Given that a local road rises 33 feet for every 423 feet of pavement.

The slope of the road will be calculated as,

Slope = Rise / Run

Slope = 33 / 423

Slope = 11 / 141

Therefore, the slope of the road will be equal to 11 / 141.

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Gavin rented a truck for 5 days. The truck
rental company charged him $55.00 per day,
plus $0.15 per mile. The total charge was
$285.20. How many miles did Gavin drive?

Answers

$55x5 days= $275
$285.20-275=$10.20
10.20/.15= 68
Answer= 68 miles

WILL MARL BRAINLEST
A full lake begins dropping at a constantrate. After 4 weeks it has dropped 3 feet.What is the unit rate of change in the lake’slevel compared to its full level?
A.0.75 feet per week
B.1.33 feet per week
C. −1.33 feet per week
D.−0.75 feet per week

1

Answers

Answer:

A is the answer

Step-by-step explanation:

A is the answer

help me please, please

Answers

-243 x -128
——————-
-27 x -32

31104/864
=36

Please Help Me Someone...

Answers

Answer:

B. ( im sorry if its wrong, i just can't see the picture clearly )

if ABC is a straight line and angle CBD=119

Answers

Hello this is not question .

Find the measure of 46.
70*110°
46
o
66 = [?]

Answers

Answer:

angle 6 is equal to 70° vertically opposite angle on the same side of transeversal.

A rectangular prism has a width of x^2 inches, A length of xy^2 inches, and a height of y^2 inches. Which expression represents the volume in cubic inches of this rectangular prism

Answers

Answer:

[tex]Volume = x^3y^4[/tex]

Step-by-step explanation:

Given

[tex]Length = xy^2[/tex]

[tex]Height = y^2[/tex]

[tex]Width = x^2[/tex]

Required

Determine the volume

The volume is calculated as:

[tex]Volume = Length * Width * Height[/tex]

[tex]Volume = xy^2 * x^2 * y^2[/tex]

This gives:

[tex]Volume = x^3y^4[/tex]

12. 14.5% of 90 is n. The value of n is 15.​

Answers

Answer:14.5% of 19 is 13.05, so the value of n would actually be 13.05

[4 ×{ 3 - ( 2- 1/3 )}]​

Answers

Hopes this helps:

Answer: 16/3

1. Simplify 2 - 1/3 to 5/3.
4(3- 5/3)

2. Simplify 3 - 5/3 to 4/3.
4 • 4/3

3. Use this rule: a • b/c = ab/c.
4 • 4/ 3

4. Simplify 4 • 4 to 16.
16/3
16/3 is the correct answer !!!! Hope thsi helps bye
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